find the domain of the function (f•g)(x) where f(x)2x^2+c, g(x)=5x-1

The value of the difference of the functions is 3t^2/3

The difference in the growth of the specimen is 3t^2/3

Expoenential functions are written in the form y= ab^x

Given the following expoenential functions

A(t) = 5/6t^2/3

B(t) = 1/3t^2/3

a) Determine the function (A-B(t)

(A-B)(t) = A(t) - B(t)

Substitute

(A-B)(t) = 5/6t^2/3 - 1/3t^2/3
(A-B)(t) = (5/6-1/3)t^2/3
(A-B)(t) = 9/3t^2/3
(A-B)(t) = = 3t^2/3

b) This means that the difference in the growth of the specimen is 3t^2/3

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The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.

Vectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:

[tex]\vec r = \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)[/tex]     (1)

[tex]\|\vec r\| = \sqrt{\left(\sum\limits_{i=1}^{n} x_{i}\right)^{2}+\left(\sum\limits_{i=1}^{n} y_{i}\right)^{2}}[/tex]   (2)

[tex]\theta = \tan^{-1}\frac{\sum\limits_{i=1}^{n}y_{i}}{\sum\limits_{i=1}^{n}x_{i}}[/tex]   (3)

Where [tex]\theta[/tex] is resultant angle, measured in degrees.

If we know that [tex]\|\vec u\| = 90[/tex], [tex]\theta_{u} = 40^{\circ}[/tex], [tex]\|\vec v\| = 60[/tex], [tex]\theta_{v} = 20^{\circ}[/tex], [tex]\|\vec w\| = 40[/tex] and [tex]\theta_{w} = 30^{\circ}[/tex], then the resultant, its magnitude and its direction:

[tex]\vec r = (-90\cdot \cos 40^{\circ}-60\cdot \sin 20^{\circ}+40\cdot \cos 30^{\circ}, 40\cdot \sin 30^{\circ}+60\cdot \cos 20^{\circ}-90\cdot \sin 40^{\circ})[/tex]

[tex]\vec r = (-54.824, 18.531)[/tex]

[tex]\|\vec r\| = \sqrt{(-54.824)^{2}+18.531^{2}}[/tex]

[tex]\|\vec r\| \approx 57.871[/tex]

[tex]\theta = \tan^{-1} \left(\frac{18.531}{-54.824}\right)[/tex]

[tex]\theta \approx 198.676^{\circ}[/tex]

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°. [tex]\blacksquare[/tex]

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6/35

hope it helps...!!!

Answer:

(2/7) x (3/5)=  fraction form: 6/35   decimal form: 0.1714285

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use Unitary method ~

[tex]\qquad \sf  \dashrightarrow \:10 \:hr = 320 \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \: 1\: hr = (320 \div 10) \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \:1 \: hr = 32 \: bagels[/tex]

So, the rate per hour is 32 bagels ~

[tex]\qquad \sf  \dashrightarrow \:15 \: hr = (15 \times 32) \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \:15 \: hr = 480\: bagels[/tex]

So, they can prepare 480 bagels in 15 hours

Answer:

480 bagels

Step-by-step explanation:

320 bagels in 10 hours.

⇒ 320 bagels = 10 hours

Divide 10 both sides to find the rate per hour:

⇒ 320/10 bagels = 10/10 hours

⇒ 32 bagels = 1 hours

Multiply 15 both sides to find the number of bagels in 15 hours

⇒ 32 bagels = 1 hours

⇒ 32 x 15 bagels = 1 x 15 hours

⇒ 480 bagels = 15 hours

Answer:

$703.04

Step-by-step explanation:

The equation for this is 625 x [tex]1.04^{years\\}[/tex].

So using the formula 625 x [tex]1.04^{3}[/tex] = $703.04

Answer:

$703.04

Step-by-step explanation:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substituting given values into the formula:

[tex]\implies \sf A=625(1+\frac{0.04}{1})^{3}[/tex]

[tex]\implies \sf A=625(1.04)^{3}[/tex]

[tex]\implies \sf A=703.04[/tex]

Answer:

See below ~

Step-by-step explanation:

The function can be written as :

Answer:

6

Step-by-step explanation:

[tex]8-6+4[/tex]

[tex]2+4\\6[/tex]

Answer:

He is incroredct because he should have multiplied the bases

Step-by-step explanation:

Answer:

A: He is incorrect because he multiplied the bases.

Step-by-step explanation:

The correct answer would have been: [tex]6^{9}[/tex]

Answer: D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex], while the diameter of a circle is 2r. [tex]\frac{2\pi r}{2r} = \pi[/tex]

Answer: sqrt(182)

Step-by-step explanation:

ΔEDF is congurent with ΔBDC

DE/EF = DB/BC

The length of the ED is √182.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

EF is parallel to BC.

This means,

ΔEDF is congurent with ΔBDC

So,

DE/EF = DB/BC

BC = 2ED

DB = 26

EF = 14

Now,

DE/EF = DB/BC

DE/14 = 26/2ED

2ED² = 14 x 26

ED² = 7 x 26

ED = √182

Thus,

The length of the ED is √182.

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#SPJ2

Answer:

The answer is 1

Step-by-step explanation:

5w² – 5w = 0

Add 5w both side

5w² – 5w + 5w = 5w – 5w

5w² = 5w

Now, Divide both side by 5w we get,

5w²/5w = 5w/5w

w = 1

Thus, The value of w is 1

Answer:

w = 1

Step-by-step explanation:

Given :

Bring 5w to the other side.

Answer:

0.0138

Step-by-step explanation:

the division gives a value which is almost recurring hence we round off to get 0.0138

Answer:

72.5 (I did the math)

Answer:

-31

Step-by-step explanation:

substitute- y-8b = -7-8(3)

8(3)=24

-7- -24=

solve- -31

Answer:

-31

Step-by-step explanation:

Given

binomial: y - 8b

y = - 7

b = 3

Solution

-7 - 8(3)       Substitute 3 in for b and - 7 in for y

-7 - 24         Combine -8 and 3 (which is - 24

-31               Answer. - 31

Answer:

G

Step-by-step explanation:

Volume of a triangular prism = area of the base x height

(where the "bases" are the triangles)

Area of a triangle = 1/2 x base x height

Given:

⇒ area of base of prism = 1/2 x 3.1 cm x 4.8 cm = 7.44 cm²

Given:

⇒ Volume of the prism = 7.44 cm² x 2.6 cm = 19.344 cm³

Answer:

$399.75

Step-by-step explanation:

6.5% of $6,150 =

= 0.065 × $6,150

= $399.75

Answer: $399.75

He had to pay $399.75

formula:  Tax = Tax Rate * Purchase Price

Answer:

The formula to calculate the total surface area of a cylinder is expressed as, total surface area of cylinder = 2πr(r + h). This total surface area includes the area of the 2 bases (2πr2) and the curved surface area (2πrh). Here 'r' is the radius and 'h' is the height of the cylinder.

Step-by-step explanation:

Answer:

87.407

Step-by-step explanation:

circumference = 2*pie*r

= 2*pie*17

=106.8/2

=53.4

53.4+(17*2)

=87.4

Answer:

Step-by-step explanation:

it 87.38

TRUST ME

Answer:

D.

Step-by-step explanation:

The value of a, b and <A are 17.4, 119.3 and 42 degrees respectively

From the given right angles triangle, we have the following parameters;

<A + 48 + 90 = 180 (sum of angles in a triangle)

<A =180 - 138

<A = 42 degrees

Using the SOH CAH TOA identity

sin48 = b/26

b = 26sin48

b = 19.3

For the value of a

sin42 = a/26

a = 26sin42

a = 19.3

a =17.4

Hence the value of a, b and <A are 17.4, 119.3 and 42 degrees respectively

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Answer:

34

Step-by-step explanation:

2 x 16 + 2

_________

2 x 16 = 32

_________

32 + 2 = 34

Answer:

30 or 64

Step-by-step explanation:

30 Because... 2 corns for every one till they rech 15..

that's mean (2 x 15)

64 Because... 2 corns plus 2 extra if they rech 16....

that's mean (4x16)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Perimeter of square is :

[tex]\qquad \sf  \dashrightarrow \:4 \times side \: length[/tex]

so, we can take side length as a, and solve for a ~

[tex]\qquad \sf  \dashrightarrow \:4a = 60[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 60 \div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 15[/tex]

Now, since we know the side length. let's find Area of square :

[tex]\qquad \sf  \dashrightarrow \: {15}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 225 \: m {}^{2} [/tex]

Answer:

  (3 +1.5π) ft ≈ 7.71 ft

Step-by-step explanation:

We see a semicircle, not a "composite figure." The perimeter of the semicircle is the sum of the length of the arc and the length of the straight edge:

  P = (1/2)πd +d . . . where d is the diameter and πd is the full circumference

  P = d(1 +π/2)

  P ≈ (3 ft)(1 +1.57) = 7.71 ft . . . . . using 3.14 for π

The perimeter of the figure is about 7.71 feet.

__

In terms of pi, the perimeter is ...

  P = (3 +1.5π) ft

Answer:

2y² + 12y + 18

Step-by-step explanation:

2(y + 3)²

First use formula (a + b)² = a² + 2ab + b² to expand (y + 3)²:

(a + b)²

(y + 3)²

y² + 2*y*3 + 3²

y² + 6y + 9

Dont forget the 2:

2(y² + 6y + 9) <== distribute and multiply

2y² + 12y + 18

Hope this helps!

Answer:

i think is would be D

hope that helps if not i can change it

Step-by-step explanation:

Answer:

30 m is the original, and 60 m would be expanded

Step-by-step explanation:

perimeter=l+w+l+w so 12+3+12+3=30 and you could multiply that by 2 to make it 60m i believe

Answer:

39

Step-by-step explanation:

You find the area by multiplying the length times the height which is what I did 13 x 3 = 39

Answer:

135

Step-by-step explanation:

5/8=0.625

1-0.625=0.375

0.375 times 360=135